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Finding the Third Proportional to 113,380 and 247,482

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Solution

The third proportional to 113,380 and 247,482 is: 540,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,380 : 247,482 = 247,482 : x
  2. Step 2: Convert to fraction form
    113,380/247,482 = 247,482/x
  3. Step 3: Cross multiply
    113,380x = 247,482 × 247,482
  4. Step 4: Simplify right side
    113,380x = 61,247,340,324
  5. Step 5: Solve for x
    x = 61,247,340,324/113,380
  6. Step 6: Final answer
    x = 540,195.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.